A century-old platter falls vertically downward. Upon breaking, its fragments fly off parallel to the ground with velocity 1 = 2.4 m/s and V2 = 5.4 m/s. Find mass ml and mass m2 in kg %3D Vi 25.0° V2 m2 45.0°
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- F A B D three blocks are in contact with each other and their masses are: m (A) = 44.4 kg, m (B) = 34.4 kg, m (C) = 24.4 kg, and m (D) = 14.4 kg. Block A is being pushed by a horizontal F = 500 N as shown. All the four boxes are moving together. The coefficient of kinetic friction between block and floor is 0.050. What is the magnitude of the force that block C exerts on block D? (q1245) a) 061.2 N b) 0500.0 N c) 054.2 N d) 0442.4 NThe figure shows a composite slab with dimensions d₁ = 11.9 cm, d₂ = 2.94 cm, and d3 = 12.8 cm. Half the slab consists of aluminum (density = 2.70 g/cm³) and half consists of iron (density = 7.85 g/cm³). What are (a) the x coordinate, (b) the y coordinate, and (c) the z coordinate of the slab's center of mass? (a) Number (b) Number (c) Number dy Iron Units Units Units 2d₁ -Midpoint Aluminum dy 11A metal object of mass m = 45.77 g with sharp edges hits a wooden block of mass M = 425.3 g at rest on a horizontal surface. Assume that the coefficient of kinetic friction between the block and the surface μk is 0.43. When the metal object hits the block, it is stuck with the block and both start to slide together with velocity vf. They move together after the collision, and stop after sliding ∆x = 1.95 m. What is the initial velocity vi of the metal object before it hits the block in m/s? Keep three significant figures for the answer.
- Problem 9: Displayed to the right are two carts connected by a cord that passes over a small frictionless pulley. Each cart rolls freely with negligible friction. Consider the mass of the cart to be mj = 16.2 kg and the angle the first cart sits on to be 0, = 36.5°, while the mass of the second cart as m2 = 22.3 kg and the angle it sits on to be 02 = 49°. mi m2 02An unfortunate astronaut loses his grip during a spacewalk and finds himself floating away from the space station, carrying only a rope and a bag of tools. First he tries to throw a rope to his fellow astronaut, but the rope is too short. In a last ditch effort, the astronaut throws his bag of tools in the direction of his motion, away from the space station. The astronaut has a mass of ma = 102 kg and the bag of tools has a mass of mp = 19.0 kg. If the astronaut is moving away from the space station at Vj = 2.10 m/s initially, what is the minimum final speed vp.f of the bag of tools with respect to the space station that will keep the astronaut from drifting away forever? Ub.f = m/s9c Qa О qb a/2 30 30 2 a/2 a R 90 a 90 a/2 a/2 6060 R R 30 r 30 30 90 90 30 a/2 a/2 a http://www.treenshop.com/Ireenshop/ArticlesPages/HiguresUninterest Article/The%20Equilateral%20 Triangle.htm qa = +1.8 nc, qb = -7.5 nC, qc = -8.7 nC, a = 30.0 cm The point charges are located at the corners of an equilateral triangle of side a. Determine the electric field at the center of the right side of the triangle. R || = r = 3 h 6 t
- A 40.0 kg child is standing on a 42 kg raft that is drifting with a velocity 0f 1.2 m/s [N]relative to the water. The child walks on the raft with a net velocity of 0.71 m/s [E]relative to the water. Fluid friction between the raft and the water is negligible.Determine the resulting velocity of the raft relative to the water. i and j vectors are notpermitted. dont forget the angleA bullet of mass 0.018 kg traveling horizontally at a high speed of 200 m/s embeds itself in a block of mass 4 kg that is sitting at rest on a nearly frictionless surface. (a) What is the speed of the block after the bullet embeds itself in the block? Vf = 7 X m/s (b) Calculate the total translational kinetic energy before and after the collision. Ktrans,/ = 180 X J Ktrans,f = 260 X J (c) Compare the two results and explain why there is a difference. O The Energy Principle isn't valid for an inelastic collision. The internal energy of the block-bullet system has increased. O Some of the momentum is lost in an inelastic collision.A rifle with a weight of 40 N fires a 5.5-g bullet with a speed of 210 m/s. (a) Find the recoil speed of the rifle. _______m/s (b) If a 625-N man holds the rifle firmly against his shoulder, find the recoil speed of the man and rifle. _______m/s
- Assume that the mass of the bullet, m1, is 4.97 g, the mass of the pendulum, m2, is 1.029 kg, and h is 4.71 cm. (a) Find the velocity of the system after the bullet embeds in the block. m/s(b) Calculate the initial speed of the bullet. m/sA wagon is rolling forward on level ground. Friction is negligible. The person sitting in the wagon is holding a rock. The total mass of the wagon, rider, and rock is 99.5 kg. The mass of the rock is 0.277 kg. Initially the wagon is rolling forward at a speed of 0.488 m/s. Then the person throws the rock with a speed of 16.6 m/s. Both speeds are relative to the ground. Find the speed of the wagon after the rock is thrown (a) directly forward in one case and (b) directly backward in another. (a) vi (b) v-A block of mass 20 kg moves along a frictionless surface, and is in a collision course with a sphere of mass 10 kg tied to an inextensible rope of length 6.00m. If the block collides with the sphere with a velocity of 5.00 m/s, as shown in the figure, and the coefficient of restitution is e = 0.800, determine the following. Neglect friction and air resistance. VB= 5.00 m/s Ө r: 6.00m 9-7-- ↓ 3. To solve for the maximum height, H, which of the following concepts cannot be used? The kinetic energy of the sphere just after its collision with the block is equal to its potential energy at the maximum height, H. The kinetic energy of the sphere just after its collision with the block is equal to its kinetic energy at the maximum height, H. The velocity of the sphere at the maximum height is zero. The work done by gravity on the sphere will DECREASE the sphere's kinetic energy. 1:035111